Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions
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Publication:4960377
DOI10.1017/prm.2018.77zbMath1436.35059arXiv1607.01505OpenAlexW2962955424MaRDI QIDQ4960377
Publication date: 15 April 2020
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.01505
Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integro-differential operators (47G20)
Related Items (13)
Nonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalence ⋮ The Brezis-Nirenberg problem for the fractional Laplacian with mixed Dirichlet-Neumann boundary conditions ⋮ Fractional Schrödinger–Poisson system with critical growth and potentials vanishing at infinity ⋮ Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions: applications ⋮ A strong maximum principle for mixed local and nonlocal p-Laplace equations ⋮ Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data ⋮ Principal eigenvalue of mixed problem for the fractional Laplacian: moving the boundary conditions ⋮ On the strong maximum principle for a fractional Laplacian ⋮ Existence and nonexistence of positive solutions to a fractional parabolic problem with singular weight at the boundary ⋮ A strong maximum principle for the fractional Laplace equation with mixed boundary condition ⋮ On the KPZ equation with fractional diffusion: global regularity and existence results ⋮ Fractional heat equation with singular nonlinearity ⋮ On a nonlinear elliptic fractional problem under mixed boundary condition: effect of the geometry of the domain
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